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3 years ago

Does the following equation represent growth or decay?

Mathematics

1 answer:

Neporo4naja [7]3 years ago

7 0

Answer:

Growth

Step-by-step explanation:

The number that is multiplying (1.01) is more than 0 so growth

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Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.

charle [14.2K]

ANSWER

See below

EXPLANATION

Given

$f(x) = \frac{ {x}- 9 }{x + 5}$

and

$g(x) = \frac{ - 5x - 9}{x - 1}$

$(f \circ \: g)(x)= \frac{ (\frac{ - 5x - 9}{x - 1})- 9 }{(\frac{ - 5x - 9}{x - 1} )+ 5}$

$(f \circ \: g)(x)= \frac{ \frac{ - 5x - 9 - 9(x - 1)}{x - 1}}{\frac{ - 5x - 9 + 5(x - 1)}{x - 1} }$

Expand:

$(f \circ \: g)(x)= \frac{ \frac{ - 5x - 9 - 9x + 9}{x - 1}}{\frac{ - 5x - 9 + 5x - 5}{x - 1} }$

$(f \circ \: g)(x)= \frac{ \frac{ - 5x - 9x + 9 - 9}{x - 1}}{\frac{ - 5x + 5x - 5 - 9}{x - 1} }$

$(f \circ \: g)(x)= \frac{ \frac{ - 14x }{x - 1}}{\frac{ -14}{x - 1} }$

Since the denominators are the same, they will cancel out,

$(f \circ \: g)(x)= \frac{ - 14x}{ - 14} = x$

8 0

3 years ago

X-2y=4 in slope intercept form

Yuliya22 [10]

Answer:

y = 1/2x - 2

Step-by-step explanation:

Slope intercept form:

y = mx + b

x - 2y = 4

-2y = -x + 4

2y = x - 4

y = 1/2x - 2

8 0

3 years ago

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Richard and Sales are making cranes.They use 1 piece of blue paper and one piece of orange paper to make it. The blue paper come

m_a_m_a [10]

I think the answer is 3

3 0

3 years ago

Simplify this expansion 3G -9 + 11G -21

VladimirAG [237]

Answer:

14G-30

Step-by-step explanation:

3G -9 + 11G -21

14G-30

4 0

3 years ago

How are u supposed to find the area only with the circumference?

seraphim [82]

Answer:

We can find the radius from circumference and then area

Circumference(C) = 2πr

r = C/2π

r = 20/2π

r = 10/π

Area = πr²

Area = π × 10/π × 10/π

Area = 100/π

Area = 100/3.14

Area = 10000/314 = 31.84 cm² (approx)

Area = 32 cm² (Rounding to nearest whole number)

6 0

3 years ago

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